Integral

Transforms an image to the integral representation.

Syntax

IppStatus ippiIntegral_8u32s_C1R(const Ipp8u* pSrc, int srcStep, Ipp32s* pDst, int dstStep, IppiSize roiSize, Ipp32s val);

IppStatus ippiIntegral_8u32f_C1R(const Ipp8u* pSrc, int srcStep, Ipp32f* pDst, int dstStep, IppiSize roiSize, Ipp32f val);

Parameters

pSrc

Pointer to the source image ROI.

srcStep

Distance in bytes between starts of consecutive lines in the source image.

pDst

Pointer to the ROI in the destination integral image.

dstStep

Distance in bytes between starts of consecutive lines in the destination image.

roiSize

Size of source and destination image ROI in pixels.

val

The value to add to pDst image pixels

Description

The function ippiIntegral is declared in the ippcv.h file. It operates with ROI (see Regions of Interest in Intel IPP). This function transforms a source image pSrc to the integral image pDst. Pixel values of the destination image pDst are computed using pixel values of the source image pSrc and the specified value val in accordance with the following formula:

where i,j are coordinates of the destination image pixels (see Figure 11-1 ) varying in the range i = 1 ,..., roiSize.height, j = 0,..., roiSize.width. Pixel values of zero row and column of pDst (i=0) is set to val.

The size of the destination images is (roiSize.width + 1) x (roiSize.height + 1).

Figure “Operation of the Integral and TiltedIntegral functions” shows what pixels (red circles) of the source image are used in computation new pixel values in the i,j coordinates.

For large images the result of summation can exceed the upper bound of the output data type. Table “Maximum Image Size for Integral Functions” lists the maximum image size for different function flavors and values. The code example below demonstrates how to use the function ippiIntegral.

Operation of the Integral and TiltedIntegral functions

Maximum Image Size for Integral Functions
Function Flavor Value val Maximum Image Size
ippiIntegral_8u32s_C1R 0 (231-1)/255
  -231 232/255
ippiIntegral_8u32f_C1R 0 224/255
  -224 (225+1)/255

Return Values

ippStsNoEr

Indicates no error.

ippStsNullPtrErr

Indicates an error if pSrc or pDst is NULL.

ippStsSizeErr

Indicates an error condition if roiSize has a field with zero or negative value.

ippStsStepErr

Indicates an error condition if srcStep is less than roiSize.width * <pixelSize>, or dstStep is less than (roiSize.width+1) * <pixelSize> .

ippStsNotEvenStepErr

Indicates an error condition if one dstStep is not divisible by 4.

Using the function ippiIntegral

void func_inegral()
{
    Ipp8u pSrc[5*4]; 
  
    Ipp32s pDst[6*5];
    IppiSize ROI = {5,4};
    ippiSet_8u_C1R(1,pSrc,5,ROI);
    Ipp32s val = 1;
    ippiIntegral_8u32s_C1R(pSrc, 5, pDst, 6*4, ROI, val);
}
result:
pSrc -> 1 1 1 1 1           pDst -> 1 1 1 1  1  1
        1 1 1 1 1                   1 2 3 4  5  6
        1 1 1 1 1                   1 3 5 7  9  11
        1 1 1 1 1                   1 4 7 10 13 16
                                    1 5 9 13 17 21

	

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